Question: the population of a country is 9.7 x 107, and is increasing by 8.7 x 105 people each year. show your work for each calculation, and answer in scientific notation: 1. how many new people are added after 25 years? 2. what is the population after 25 years? type your answer below:

QUESTION 1

Let represent the number of years.

Then each year the number of people added is given by the function

Therefore after years,

In scientific notation,

ANSWER TO QUESTION 2

The population after 25 years can be calculated by adding the increment in population to the initial population.

The initial population

The population  after 25 years

1.

2.

Step-by-step explanation:

We are given that population of a country is , and is increasing by people each year.

1. To find number of people added after 25 years we will multiply 25 by .

Therefore, will be added after 25 years.

2. To find out population after 25 years we will add population added in 25 years to initial population.

Therefore, population after 25 years will be .

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2